What does the cryptic crossword clue "Teacher, maybe, indicates a lout out of order (14)" mean?

The wordplay uses an anagram. anagram of INDICATES + A + LOUT = EDUCATIONALIST The answer is EDUCATIONALIST.

Teacher, maybe, indicates a lout out of order (14)

Daily Mail Cryptic #17123 | 6 Across | 2023-06-20 flower